Step 1: Recognizing the compound.
CuSO₄·5H₂O is copper(II) sulfate pentahydrate, incorporating five water molecules per formula unit.
Step 2: Coordination arrangement.
Four of the five water molecules directly coordinate to the Cu²⁺ ion, forming the [Cu(H₂O)₄]²⁺ complex.
Step 3: Hydrogen-bonded water.
The remaining one water molecule is not bound to the metal center; instead, it resides as lattice water held by hydrogen bonding within the crystal lattice.
Step 4: Conclusion.
Hence, the numbers of coordinated and hydrogen-bonded water molecules are 4 and 1, respectively.